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cestrela7 [59]
3 years ago
12

Complete the identity. cos (alpha - beta)/cos alpha cos beta=?

Mathematics
2 answers:
Gnoma [55]3 years ago
6 0
When you see a formula like this, try to operate, so you will see some identities sooner or later. In this case, we have a substraction identity:

\frac{cos ( \alpha  -  \beta )}{cos  \alpha cos  \beta } = \frac{cos   \alpha cos  \beta + sin \alpha sin  \beta }{cos  \alpha cos  \beta } = 1 + tan α · tan β
MatroZZZ [7]3 years ago
5 0

Answer:

When you see a formula like this, try to operate, so you will see some identities sooner or later. In this case, we have a substraction identity:

\frac{cos ( \alpha  -  \beta )}{cos  \alpha cos  \beta }  =  \frac{cos   \alpha cos  \beta + sin \alpha sin  \beta }{cos  \alpha cos  \beta }  = 1 + tan α · tan β

Step-by-step explanation:

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Olin [163]

Answer:

m

Step-by-step explanation:

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4 0
3 years ago
Find the points on the lemniscate where the tangent is horizontal. 8(x2 + y2)2 = 81(x2 − y2)
slamgirl [31]
<span>The answers to this problem are:<span>(<span>±5</span></span>√3/8,±5/8)<span>Here is the solution:
Step 1: <span><span><span>x2</span>+<span>y2</span>=<span>2516</span>[2]</span><span><span>x2</span>+<span>y2</span>=<span>2516</span>[2]</span></span>

Step 2: Substitute:<span> 
</span><span><span>8<span><span>(<span>25/16</span>)^</span>2</span>=25(<span>x^2</span>−<span>y^2</span>)
</span><span>8<span><span>(<span>25/16</span>)^</span>2</span>=25(<span>x^2</span>−<span>y^2</span>)</span></span>
</span><span>x^2</span>−<span>y^2</span>=<span>25/32</span><span>.

Add [2] and [3]:<span> 
</span><span>2<span>x^2</span>=<span>75/32
</span><span>x^2</span>=<span>75/74</span></span>
<span>x=±5</span></span>√3/8<span>
Substitute into [2]:<span> 
</span><span><span>75/64</span>+<span>y^2</span>=<span>50/32
</span><span>y^2</span>=<span>25/64</span></span>
<span>y=±<span>5/8</span></span>

</span>
</span>
3 0
3 years ago
Read 2 more answers
select the correct answer. and the figure, angle k measures 45°. what is the measurement of angle c? 38° 45° 90° 98°.
LuckyWell [14K]

From the figure, we can conclude that the little triangle is an isosceles triangle, the greatest angle is 90 because ∠A = 90 and they are supplementary, therefore, using the triangle sum theorem:

\begin{gathered} m\angle J=m\angle K \\ m\angle K+m\angle K+90=180 \\ 2m\angle K=180-90 \\ 2m\angle K=90 \\ m\angle K=\frac{90}{2} \\ m\angle K=45 \end{gathered}

8 0
1 year ago
X y<br>-28 -54<br>-21 - 40<br>-14 -26<br>What is the y-intercept of the line?​
jeka94

Answer:

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Step-by-step explanation:

7 0
3 years ago
Can somebody help me
saveliy_v [14]

Answer:

Y=5

You must first divide b (-10) by two and square it to know what you need to make a perfect square (25). You must then add or subtract the amount to make C (-13) into that number (add 38). Don't forget to do it on the other side too! (3 becomes 41) You then factor the left side. ((Y-5)^2=41) The result is your answer. (Y=5)

6 0
3 years ago
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